Assist. Prof. Dr. Muhammad Asif | Applied Mathematics | Research Excellence Award
Assistant Professor at University of Peshawar | Pakistan
Assist. Prof. Dr. Muhammad Asif is an Assistant Professor in the Department of Mathematics at the University of Peshawar, Pakistan, where he has established himself as a leading researcher, educator, and academic mentor with extensive contributions to qualitative analysis of differential equations, numerical solutions of classical and fractional differential and integral equations, numerical simulation of multi-dimensional interface problems, infectious disease modeling, and the integration of Physics-Informed Neural Networks and Artificial Neural Networks into the solution of complex ordinary and partial differential equations; he holds advanced degrees in Mathematics from the University of Peshawar and has served in key academic and administrative roles including Lecturer, Staff Proctor, BS Program Coordinator, member of multiple departmental committees, Focal Person for BS, MPhil, and PhD Self-Assessment Reports, and Focal Person for the Prime Minister Laptop Scheme, demonstrating exceptional institutional leadership; his research expertise spans meshless methods, Haar wavelet collocation techniques, multi-resolution approaches, Legendre multi-wavelets, and hybrid numerical algorithms for solving elliptic, parabolic, hyperbolic, and telegraph-type interface problems with discontinuous coefficients and complex geometries; he has supervised numerous MPhil and PhD scholars to completion and continues to guide multiple candidates in advanced mathematical modeling topics, reflecting his strong dedication to research cultivation; he has also reviewed a wide range of theses from various universities, covering subjects such as stochastic epidemic models, tempered fractional derivatives, economic dynamical systems, commuting graphs, numerical solution of Schrödinger and Black–Scholes models, fuzzy Laplace transform approaches, optimization algorithms, fluid dynamics, and peristaltic flow; his rich portfolio includes impactful publications in reputable international journals, addressing interface problems, telegraph equations, hyperbolic systems, fractional models, wavelet-based discretizations, NPZ and SIR epidemiological models, and many advanced numerical simulation techniques, establishing him as a prominent scholar in applied mathematics, computational modeling, and numerical analysis; he has also submitted competitive national research grant proposals to leading funding bodies, further highlighting his active involvement in advancing mathematical research in Pakistan.
Featured Publications:
Bilal, F., Asif, M., Shakeel, M., & Popa, I.-L. (2025). RBF-based meshless collocation method for time-fractional interface problems with highly discontinuous coefficients. Mathematical and Computational Applications.
Asif, M., Akhtar, N., Khan, F., Bilal, F., & Popa, I.-L. (2025, August 8). Numerical treatment of hyperbolic-type problems with single and double interfaces via meshless method. Axioms.
Haq, K. S. U., Asif, M., Faheem, M., & Popa, I.-L. (2025, July 25). Capturing discontinuities with precision: A numerical exploration of 3D telegraph interface models via multi-resolution technique. Mathematics.
Asif, M., Gul, T., Riaz, M. B., & Bilal, F. (2025, June). Solution of nonlinear telegraph equation with discontinuities along the transmission line using meshless collocation method. Partial Differential Equations in Applied Mathematics.
Asif, M., Bilal, F., Haider, N., & Jarad, F. (2025, June 22). Robust numerical techniques for modeling telegraph equations in multi-scale and heterogeneous environments. Journal of Applied Mathematics and Computing.